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Author: R. F. C. Walters
Publisher: Cambridge University Press
ISBN: 9780521422260
Category : Computers
Languages : en
Pages : 180
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Book Description
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Author: R. F. C. Walters
Publisher: Cambridge University Press
ISBN: 9780521422260
Category : Computers
Languages : en
Pages : 180
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Book Description
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Author: Benjamin C. Pierce
Publisher: MIT Press
ISBN: 0262326450
Category : Computers
Languages : en
Pages : 117
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Book Description
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
Author: Andrea Asperti
Publisher: MIT Press (MA)
ISBN:
Category : Computers
Languages : en
Pages : 330
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Book Description
Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.
Author: Helle Hvid Hansen
Publisher: Springer Nature
ISBN: 3031107365
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2022, colocated with ETAPS 2022, held in Munich, Germany, in April 2022. The 9 revised full papers were carefully reviewed and selected from 12 submissions. The papers cover a wide range of topics in the theory, logics, and applications of coalgebras.
Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
ISBN: 9783540517221
Category : Computers
Languages : en
Pages : 360
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Book Description
This volume contains selected papers of the International Workshop on "Categorical Methods in Computer Science - with Aspects from Topology" and of the "6th International Data Type Workshop" held in August/September 1988 in Berlin. The 23 papers of this volume are grouped into three parts: Part 1 includes papers on categorical foundations and fundamental concepts from category theory in computer science. Part 2 presents applications of categorical methods to algebraic specification languages and techniques, data types, data bases, programming, and process specifications. Part 3 comprises papers on categorial aspects from topology which mainly concentrate on special adjoint situations like cartesian closeness, Galois connections, reflections, and coreflections which are of growing interest in categorical topology and computer science.
Author: Jose Luiz Fiadeiro
Publisher: Springer Science & Business Media
ISBN: 354026891X
Category : Computers
Languages : en
Pages : 255
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Book Description
Demonstrates how category theory can be used for formal software development. The mathematical toolbox for the Software Engineering in the new age of complex interactive systems.
Author: Hans-Jörg Kreowski
Publisher: Springer
ISBN: 354031847X
Category : Mathematics
Languages : en
Pages : 434
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Book Description
By presenting state-of-the-art research results on various aspects of formal and visual modeling of software and systems, this book commemorates the 60th birthday of Hartmut Ehrig. The 24 invited reviewed papers are written by students and collaborators of Hartmut Ehrig who are established researchers in their fields. Reflecting the scientific interest and work of Hartmut Ehrig, the papers fall into three main parts on graph transformation, algebraic specification and logic, and formal and visual modeling.
Author: Aurelio Carboni
Publisher: Springer
ISBN: 3540464352
Category : Mathematics
Languages : en
Pages : 497
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Book Description
With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-
Author: Conjeevaram E. Veni Madhavan
Publisher: Springer Science & Business Media
ISBN: 9783540520481
Category : Computers
Languages : en
Pages : 356
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Book Description
The papers in this volume accepted for the conference on foundations of software technology and theoretical computer science project research results in - Algorithmics: design and analysis of graph, geometric, algebraic and VLSI algorithms; data structures; average analysis; complexity theory; parallel parsing. - Concurrency: algebraic semantics, event structures. - Logic programming: algebraic properties, semantics. - Software technology: program transformations, algebraic methods. These results together with the formal techniques employed to present them reflect current trends pursued by leading research groups around the world. The papers treat their topics in depth by carefully reviewing existing results, developing and demonstrating new techniques and suggesting further directions for research.
Author: Jose L. Fiadeiro
Publisher: Springer
ISBN: 3540484833
Category : Computers
Languages : en
Pages : 346
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Book Description
The European conference situationin the general area of software science has longbeen considered unsatisfactory. A fairlylarge number of small and medi- sized conferences and workshops take place on an irregular basis, competing for high-quality contributions and for enough attendees to make them ?nancially viable. Discussions aiming at a consolidation have been underway since at least 1992, with concrete planning beginning in summer 1994 and culminating in a public meeting at TAPSOFT’95 in Aarhus. On the basis of a broad consensus, it was decided to establish a single annual federated spring conference in the slot that was then occupied by TAPSOFT and CAAP/ESOP/CC, comprising a number of existing and new conferences and covering a spectrum from theory to practice. ETAPS’98, the ?rst instance of the European Joint Conferences on Theory and Practice of Software, is taking place this year in Lisbon. It comprises ?ve conferences (FoSSaCS, FASE, ESOP, CC, TACAS), four workshops (ACoS, VISUAL, WADT, CMCS), seven invited lectures, and nine tutorials.
